k dx
kx + C
/ kf(x) dx
k / f(x) dx
[f(x) ± g(x)] dx
/ f(x) dx ± / g(x) dx
xn dx
xn+1 / (n+1) + C , n ≠ -1
cos x dx
sin x + C
sin x dx
-cos x + C
sec2x dx
tan x + C
sec x tan x dx
sec x + C
csc2x dx
-cot x + C
csc x cot x dx
-csc x + C
Σ c
cn
Σ i
n(n+1) / 2
Σ i²
n(n + 1)(2n + 1) / 6
Σ i3
n²(n + 1)² / 4
Area Under a Curve
limn→∞Σ f(Ci)Δx
How do we find △x?
△x (b - a) / n, where [a, b] is the interval.